The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample ofsix families. Let x be monthly income and y be monthly rent.Monthly Income Monthly Rent247.0164.5196.53111.6104.5278.5Using the regression of monthly rent paid on monthly income, the predicted value of monthly rent paid by a family with a monthlyincome of $3,000, rounded to the nearest dollar, is:

Answered: Image /qna-images/answer/aae256f5-8333-47f1-b7dd-44b84e6668f6.jpg

Answered: The following table lists the monthly…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
Assume that you have collected a sample of observations from over 100 households and their consumption and income patterns. Using these observations, you estimate the following regression C₁ = Bo + B₁Y₁+H₁, where C is consumption and Y is disposable income. The estimate of B₁ will tell you: AIncome O A. APredicted Consumption OB. APredicted Consumption AIncome OC. Predicted Consumption Income OD. The amount you need to consume to survive.
You have been asked to analyse a suspected relationship between tutorial attendance and final marks for a university course. The latest set of data includes final marks Y (between 0 and 100) and tutorial attendance X (between 0 and 12) for 65 students. You have done a regression analysis on the dataset in R and the output is given below, along with a scatter plot of X and Y. Answer the subsequent questions regarding this analysis. 8. 2 4 6 8 10 12 Tutorials Attended Figure 3: Q3) Scatterplot of marks against tutorial attendance. Estimate Std. Error t value Pr(> |t|) (Intercept) 44.1517 4.6207 9.555 7.17e-14 X 2.7914 0.5679 4.915 6.65e-06 Table 2: Q10) Regression summary. 000 00 00 00 O O0 O OO 00 O O o o 08 09 40 Final Mark
A departmental store has the following sales for a period of last one year of 8 salesmen, who have different years of education. Years of Education 8 10 10 12 14 16 Annual Sales (Thousand Tk.) 100 120 80 100 80 100 70 130 a. Determine the correlation coefficient r between the two variables. Answer rounded to at least 4 decimal places. b. Determine the slope coefficient B1 for the regression of annual sales on years of education. Answer rounded to at least 4 decimal places. c. Determine the y-intercept Bo for the regression of annual sales on years of education. Answer rounded to at least 4 decimal places. d. What will be the annual sales when the years of education is 11 (years)? Answer rounded to at least 4 decimal places. Thousand Tk.
Sam had 3 caffeinated drinks on april 24 Use linear regression to predict the number non-caffeinated drink he had on April 24 and calculate the error of estimate for your prediction.
The following is the simple regression results based on the data from Madrigal Corporation: Dependent variable – Machine maintenance costs Independent variable – Machine hours Computed values Intercept P 3,500 Coefficient on independent variable P 3.50 Coefficient of correlation 0.856 R2 0.733 What percentage of the variation in maintenance costs is explained by the independent variable? (use two decimal places, e.g. 82.20%, 55.31% or 0.82, 0.55, these will be counted as correct answers)
15. Listed below are paired data consisting of movie budget amounts and the amounts that the movies grossed. Find the regression equation, letting the budget be the predictor (x) variable. Find the best predicted amount that a movie will gross if its budget is $115 million. Use a significance level of a = 0.05. Budget ($)in Millions Gross ($) in Millions %3D 39 23 117 70 70 49 122 62 64 122 20 11 149 111 18 104 68 129 116 98 95 60 113 208 40 22 288 48 8. Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y = (Round to one decimal place as needed.) х. The best predicted gross for a movie with a $115 million budget is $ million. (Round to one decimal place as needed.)
The age (in weeks) and the number of hours slept in a day were recorded for arandom sample of 8 infants.Age (in weeks) 5 10 15 22 26 36 42 47Hours slept ina day14.9 14.5 14.7 14.2 13.4 14.1 13.4 13.7(a) Find the regression line that predicts the number of hours an infant sleeps ina day based on its age (in weeks).(b) How well does the regression line fit the data? Use words and statistics tosupport your answer.(c) Predict the number of hours that a 30-week-old infant would sleep in a day.Use words to state your answer.
Answer items (c) and (d) only
The following data represent a company's yearly sales and its advertising expenditure over a period of 8 years. Sales in Advertising Expenditure Millions of Dollars (y) (in $10,000) (x) 15 32 33 18 35 37 22 44 18 41 19 39 24 42 a. Develop a complete scae s diagram of sales versus advertising. Explain what the scatt scigagram shows regarding the relationship between sales and b. advertising. c. Compute the estimated regression equation between sales and advertising? 6 If the company's advertising expenditure is $400,000, what are the predicted sales in d. dollars? e. Compute the coefficient of determination. Fully interpret the meaning of the coefficient of determination in the context of this f. problem. g. Compute the correlation coefficient. ( 16 17
3. Regression analysis breaks scores on the DV into... (explain and give equations)

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